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Finding the Fourth Proportional to 92.43, 127.54 and 53.09

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Solution

The fourth proportional to 92.43, 127.54 and 53.09 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.43 : 127.54 = 53.09 : x
  2. Step 2: Convert to fraction form
    92.43/127.54 = 53.09/x
  3. Step 3: Cross multiply
    92.43x = 127.54 × 53.09
  4. Step 4: Simplify right side
    92.43x = 6,770.53
  5. Step 5: Solve for x
    x = 6,770.53/92.43
  6. Step 6: Final answer
    x = 73.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.